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On the Difference equation x(n+1) = Ax(n) + B Sigma(k)(i=0) x(n-i)/C + D Pi(k)(i=0) x(n-i)
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On the Difference equation x(n+1) = Ax(n) + B Sigma(k)(i=0) x(n-i)/C + D Pi(k)(i=0) x(n-i)

M. M. El-Dessoky and E. O. Alzahrani
Journal of computational analysis and applications, Vol.23(1), pp.78-91
01/07/2017

Abstract

Computer Science Computer Science, Theory & Methods Mathematics Mathematics, Applied Physical Sciences Science & Technology Technology
The main objective of this paper is to study the global stability of the positive solutions and the periodic character of the difference equation x(n+1) = A Sigma(k)(i=0) x(n-i)/B + C Pi(k)(i=0) x(n-i), n = 0, 1, ..., where the parameters A, B and C are positive real numbers and the initial conditions x-k, x-(k+1), x-, x(0) are nonnegative real numbers.

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